I believe it is 510 cm because a meter equals 100 cm so 210 cm times 2 equals 410 cm then multiply 45 times 2 and get 90 cm then add 410 plus 90 and get 510 cm.
Answer:
Angle K is congruent to itself, due to the reflexive property
Step-by-step explanation:
Given: ΔLKM is similar to ΔNOM
To find: statement that is not used to prove that ΔLKM is similar to ΔNOM
Solution:
Two figures are said to be congruent if they have same shape and same size.
Two figures are said to be similar if they have same shape but different size.
If two figures are similar then their corresponding angles are equal.
As ΔLKM
ΔNOM,

So, statement that can be used to prove that ΔLKM is similar to ΔNOM is ''Angle K is congruent to itself, due to the reflexive property''
Answer:
The correct answer is A) 4/663.
Step-by-step explanation:
First you find the probability of drawing a queen when drawing a single card from a deck of 52 cards. Since there are 4 queens(the queen of diamond, the queen of hearts, the queen of spades, and the queen of clubs) in a deck of 52 cards, the probability of drawing a queen when drawing a single card from a deck of 52 cards is 4/52.
Next you find the probability of drawing a king when drawing a single card from a deck of 51 cards(since you did not replace the first card you drew). Since there are 4 kings(the king of diamond, the king of hearts, the king of spades, and the king of clubs) in a deck of cards, the probability of drawing a king when drawing a single card from a deck of 51 cards is 4/51.
Then you multiply the two probabilities to determine the probability of drawing a queen then a king. So,
4/52 x 4/51 =
4 x 4/52 x 51 =
16/2652
Finally, simplify the fraction. The greatest number that can go into both the numerator and denominator is 4. So divide both the numerator and denominator by 4. When you do this, you get the following:
16 divided by 4 = 4 as the numerator and
2652 divided by 4 = 663 as denominator.
So, the final answer is 4/663.
Answer:
See below and attached picture
Step-by-step explanation:
a. To graph the equation set y = 0 and solve for t.
y = -16t² + 100
0 = -16t² + 100
100 = -16t²
6.25 = t²
+/- 2.5 = t
Mark the points (-2.5,0) and (2.5,0). Then mark the highest point at (0,100). Draw a curve or parabola to connect the points.
b. Domain is the set of t values. This is the time it's in the air. The graph shows it at height 100 at t = 0 and at height 0 at t = 2.5. The domain is [0, 2.5].
Range is the set of y values. This is the height of the object. The graph shows it at height 100 at the beginning and then falls to height 0. The range is [0,100].
c. The graph has the point (1,84). This means it was at height 84 feet at 1 second.
d. The graph has a point about (1.75, 50). This means at about 50 feet it was 1.75 seconds.
e. The shingle is at height 0 feet at 2.5 seconds when it crosses the x-axis.